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stealth61 [152]

3 years ago

9

Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.

2 answers:

Sidana [21]3 years ago

5 0

Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.

a_sh-v [17]3 years ago

4 0

Answer:

x = 3

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, that is

DE = AB , substitute values

6x - 7 = 11 ( add 7 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

4 0

3 years ago

F(x) = 5х – 3<br> f(5) =

Sophie [7]

Answer:

f(5)=22

Step-by-step explanation:

since x=5 substitute 5 with x

f(5)=5(5)-3

multiply

f(5)=25-3

subtract

f(5)=22 :)

4 0

3 years ago

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m_a_m_a [10]

Answer:

A

Step-by-step explanation:

6 0

2 years ago

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A bakery offers a sale price of $2.80 for 3 muffins. What is the price per dozen?

puteri [66]

Answer: 11.2$

Step-by-step explanation:

8 0

3 years ago

GrogVix [38]

Answer:

B. y= (4)/(5)x + 2

Step-by-step explanation:

Use the slope-intercept form

y = m x + b to find the slope m and y-intercept b .

Slope:

5

3

y-intercept: ( 0 , − 2 )

3 0

2 years ago